Question

The binomial x + 3 is one factor of 2x3 – x2 – 18x + 9. Use complete sentences to explain how you use (either) polynomial division or synthetic division to find the remaining factors. List the remaining factors.

Answer 1

divide the polynomial by x + 3

rewrite the steps in the diagram

multiply by 2x^2 and subtract etc



P(x) = (x+3)(2x^2 - 7x + 3)
factorise the quadratic
P(x) = (x+3)(2x-1)(x-3)